CLAT Sample Paper CLAT Sample Paper-5

  • question_answer
    If P be a prime number strictly greater than 3. Then, P2 + 17 will leave remainder K, when divided by 12, the value of K is

    A)  1

    B)  5

    C)  6

    D)  None of these

    Correct Answer: C

    Solution :

    \[\frac{{{p}^{2}}+17}{12}\to \frac{({{p}^{2}}+5)}{12}\to \] Now, since \[{{p}^{2}}=12m+1\] Therefore, \[\frac{{{p}^{2}}+5}{12}\to \frac{(12m+1)+5}{12}\to \frac{12m+6}{12}\] Hence, the remainder is 6.


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